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Discussion :: Alligation or Mixture

  1. How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?

    2. A.

    36 kg
    B.

    42 kg
    C.

    54 kg
    D.

    63 kg

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    Answer : Option D

    Explanation :

    S.P. of 1 kg of mixture = Rs. 9.24, Gain 10%.

    C.P. of 1 kg of mixture = Rs. [\( \frac { 1 00} { 110}\) x 9,24] = Rs.8.40

    By the rule of allilation, we have:

    C.p of 1kg sugar of 1st kind Rs.9  ; ; ; ; ; ; ; ; ; ; ; cost of 1kg sugar of 2nd kind Rs.7

                           ; ; ; ; ; ;  ; ;Mean price Rs.8.40

     

    1.40  ; ; ; ; ; ; ; ; ; ; ; ; ; ; ;0.60

     

     Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3.

    Let x kg of sugar of 1st be mixed with 27 kg of 2nd kind.

    Then, 7 : 3 = x : 27

     x = [\( \frac {7*27 } { 3 } \)] =63kg

     

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